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Finding the Fourth Proportional to 71,792.82, 107,689.29 and 34,344.06

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Solution

The fourth proportional to 71,792.82, 107,689.29 and 34,344.06 is: 51,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,792.82 : 107,689.29 = 34,344.06 : x
  2. Step 2: Convert to fraction form
    71,792.82/107,689.29 = 34,344.06/x
  3. Step 3: Cross multiply
    71,792.82x = 107,689.29 × 34,344.06
  4. Step 4: Simplify right side
    71,792.82x = 3,698,487,437.12
  5. Step 5: Solve for x
    x = 3,698,487,437.12/71,792.82
  6. Step 6: Final answer
    x = 51,516.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.